Radical of a module

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Let R be a ring and M an left R-module. A submodule N of M is called cosimple if M / N is a simple module. The radical of the module M is then the intersection of all cosimple submodules of M. Mathematically, we write this as:

[edit] See also

• Socle (mathematics)

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Categories: Algebra stubs | Module theory

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• This page was last modified 03:29, 9 February 2007 by Wikipedia user Oleg Alexandrov. Based on work by Wikipedia user(s) Ivanip.
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